157003840 has 336 divisors, whose sum is σ = 500359680. Its totient is φ = 46448640.

The previous prime is 157003831. The next prime is 157003843. The reversal of 157003840 is 48300751.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 157003799 and 157003808.

It is not an unprimeable number, because it can be changed into a prime (157003843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5064625 + ... + 5064655.

Almost surely, 2^157003840 is an apocalyptic number.

157003840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250179840).

157003840 is an abundant number, since it is smaller than the sum of its proper divisors (343355840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157003840 is a wasteful number, since it uses less digits than its factorization.

157003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 157003840 is about 12530.1173178865. The cubic root of 157003840 is about 539.4734693943.

The spelling of 157003840 in words is "one hundred fifty-seven million, three thousand, eight hundred forty".